Question

an object is placed at a distance of 10cm from a convex lens of power +5D. Find the position of image
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Answer 1

Answer:using lens formula we can find the position of image

Explanation:

Answer 2

IMAGE IS FORMED 20 cm IN FRONT OF LENS.

Given:

• Object distance = 10 cm
• Power of lens = +5D

To find:

• Position of image ?

Calculation:

First of all, let us calculate the focal length of the convex lens.

$f(in \: m) = \dfrac{1}{power}$

$\implies f= \dfrac{1}{5}$

$\implies f= 0.2 \: m$

$\implies f= 20 \: cm$

Now, applying LEN'S FORMULA:

$\dfrac{1}{f} = \dfrac{1}{v} - \dfrac{1}{u}$

$\implies \dfrac{1}{20} = \dfrac{1}{v} - \dfrac{1}{( - 10)}$

$\implies \dfrac{1}{20} = \dfrac{1}{v} + \dfrac{1}{ 10}$

$\implies \dfrac{1}{v} = \dfrac{1}{20} - \dfrac{1}{ 10}$

$\implies \dfrac{1}{v} = \dfrac{1 - 2}{20}$

$\implies \dfrac{1}{v} = \dfrac{ - 1}{20}$

$\implies v = - 20 \: cm$

So, image is formed 20cm in front of the lens.